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What is the Least Common Multiple of 41169 and 41173?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 41169 and 41173 is 1695051237.

LCM(41169,41173) = 1695051237

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Least Common Multiple of 41169 and 41173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41169 and 41173, than apply into the LCM equation.

GCF(41169,41173) = 1
LCM(41169,41173) = ( 41169 × 41173) / 1
LCM(41169,41173) = 1695051237 / 1
LCM(41169,41173) = 1695051237

Least Common Multiple (LCM) of 41169 and 41173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41169 and 41173. First we will calculate the prime factors of 41169 and 41173.

Prime Factorization of 41169

Prime factors of 41169 are 3, 13723. Prime factorization of 41169 in exponential form is:

41169 = 31 × 137231

Prime Factorization of 41173

Prime factors of 41173 are 11, 19, 197. Prime factorization of 41173 in exponential form is:

41173 = 111 × 191 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 41169 and 41173.

LCM(41169,41173) = 31 × 137231 × 111 × 191 × 1971
LCM(41169,41173) = 1695051237